On Lipschitz (p,σ)-dominated operators

This paper focuses on the study of a new class of Lipschitz operators known as Lipschitz (p,σ)-dominated operators, which serve as an interpolating class positioned between Lipschitz p-dominated and Lipschitz mappings. We present a proof of a nonlinear Pietsch domination theorem tailored to this specific class of operators. Additionally, we provide a new characterization of Lipschitz p-dominated operators within the framework of an injective Lipschitz tensor product. As an application, we demonstrate the utility of these results by showcasing new domination-factorization theorems associated with this concept.